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Statistica Sinica 3(1993), 421-434


AN EFFICIENT ESTIMATION OF SEEMINGLY

UNRELATED MULTIVARIATE REGRESSION MODELS

WITH APPLICATION TO GROWTH CURVES ANALYSIS


Aiyi Liu


University of Science and Technology of China


Abstract: In this paper we propose an efficient method for estimating seemingly unrelated multivariate regression models. The gain in efficiency can be partially assessed by Hotelling's canonical correlations . We apply this method to the estimation problem and the concomitants selection problem in growth curve models.



Key words and phrases: Seemingly unrelated multivariate regression models, gain in efficiency, Wishart distribution, seemingly unrelated growth curve models, concomitants selection, two-stage estimate.



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